Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes

Wang C.M., Tan V.B.C. and Zhang Y.Y. (2006) Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. Journal of Sound and Vibration, 294 4: 1060-1072. doi:10.1016/j.jsv.2006.01.005

Author Wang C.M.
Tan V.B.C.
Zhang Y.Y.
Title Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes
Journal name Journal of Sound and Vibration
ISSN 1095-8568
Publication date 2006-01-01
Year available 2006
Sub-type Article (original research)
DOI 10.1016/j.jsv.2006.01.005
Open Access Status Not yet assessed
Volume 294
Issue 4
Start page 1060
End page 1072
Total pages 13
Publisher Academic Press
Language eng
Subject 2200 Engineering
2210 Mechanical Engineering
Abstract This paper is concerned with the use of the Timoshenko beam model for free vibration analysis of multi-walled carbon nanotubes (CNTs). Unlike the Euler beam model, the Timoshenko beam model allows for the effects of transverse shear deformation and rotary inertia. These effects become significant for CNTs with small length-to-diameter ratios that are normally encountered in applications such as nanoprobes. By using the differential quadrature (DQ) method, the governing Timoshenko equations are solved for CNTs of different length-to-diameter ratios and boundary conditions. By comparing results based on the Timoshenko and the Euler beam theories, we show that the frequencies are significantly overpredicted by the Euler beam theory when the length-to-diameter ratios are small and when considering high vibration modes. For such situations, the Timoshenko beam model should be used for a better prediction of the frequencies.
Keyword Acoustics
Engineering, Mechanical
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Citation counts: TR Web of Science Citation Count  Cited 172 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 188 times in Scopus Article | Citations
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Created: Tue, 17 Jan 2017, 20:39:49 EST by Anthony Yeates on behalf of Learning and Research Services (UQ Library)